裂隙岩体地下工程稳定性研究发展趋势

doi:10.13722/j.cnki.jrme.2020.1074

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Abstract The engineering practices both in China and other countries indicate that the discontinuous surfaces existing in natural rock mass have strong effects on the stability conditions of geotechnical structures and even a decisive influence. It is significant to reveal the underlying unsolved problems of seepage behaviors and mechanical mechanisms of jointed rock mass. Based on the review of a lot of research works in the problems of mechanical characteristics for fractured rock，the present work proposed the research focuses and development directions from the viewpoints of theoretical approaches，indoor test，in-situ test and numerical methods，and mainly discussed these topics as follows：field investigation techniques and generation methods of fracture network，stress-flow characteristics of fractured rock mass，macroscale and microscale progressive failure mechanisms of fractured rock mass, and anchoring techniques in underground engineering of fractured rock mass.

Key words： rock mechanics fractured rock mass underground engineering mechanical characteristics multi-field coupling fracture propagation anchoring technology

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	Articles by authors
	CHEN Weizhong1
	WANG Luyu1
	2
	TAN Xianjun1
	YANG Diansen1
	YUAN Jingqiang1
	YANG Jianping1

Cite this article:

CHEN Weizhong1,WANG Luyu1,2, et al. State-of-the-art and development tendency of the underground engineering stability of fractured rock mass[J]. , 2021, 40(10): 1945-1961.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.1074 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I10/1945

[1]	谷德振. 岩体工程地质力学基础[M]. 北京：科学出版社，1983：198-259.(GU Dezhen. Fundamental of rock engineering geomechanics[M]. Beijing：Science Press，1983：198-259..(in Chinese))
[2]	孙广忠. 岩体结构力学[M]. 北京：科学出版社，1988：109-236.(SUN Guangzhong. Structural mechanics of rock mass[M]. Beijing：Science Press，1988：109-236.(in Chinese))
[3]	陈剑平. 岩体随机不连续面三维网络数值模拟技术[J]. 岩土工程学报，2001，23(4)：397-402.(CHEN Jianping. 3D network numerical modeling technique for random discontinuities of rock mass[J]. Chinese Journal of Geotechnical Engineering，2001，23(4)：397-402. (in Chinese))
[4]	汪小刚，陈祖煜，刘文松. 应用蒙特卡洛法确定节理岩体的连通率和综合抗剪强度指标[J]. 岩石力学与工程学报，1992，11(4)：345- 355.(WANG Xiaogang，CHEN Zuyu，LIU Wensong. Determination of joint persistence and shear strength parameters of rock masses by monte carlo method[J] Chinese Journal of Rock Mechanics and Engineering，1992，11(4)：345-355.(in Chinese))
[5]	KULATILAKE P，WU T H. Estimation of mean trace length of discontinuities[J]. Rock Mechanics and Rock Engineering，1984，17(4)：215-232.
[6]	BISDOM K，NICK H M，BERTOTTI G. An integrated workflow for stress and flow modelling using outcrop-derived discrete fracture networks[J]. Computers and Geosciences，2017，103：21-35.
[7]	XU C S，DOWD P. A new computer code for discrete fracture network modeling[J]. Computers and Geosciences，2010，36(3)：292-301.
[8]	KHANG N D，WATANABE K，SAEGUSA H. Fracture step structure：Geometrical characterization and effects on fluid flow and breakthrough curve[J]. Engineering Geology，2004，75：107-127.
[9]	郭亮，李晓昭，周扬一，等. 随机与确定耦合的裂隙岩体结构面三维网络模拟[J]. 岩土力学，2016，37(9)：2 636-2 644.(GUO Liang，LI Xiaozhao，ZHOU Yangyi，et al. Three dimensional network simulation of fractured rock mass discontinuities based on stochastic deterministic coupling[J]. Rock and Soil Mechanics，2016，37(9)：2 636-2 644.(in Chinese))
[10]	FEKETE S，DIEDERICHS M. Integration of three-dimensional laser scanning with discontinuum modelling for stability analysis of tunnel in blocky rockmasses[J]. International Journal of Rock Mechanics and Mining Sciences，2013，57：11-23.
[11]	蔡毅，唐辉明，葛云峰，等. 岩体结构面三维粗糙度评价的新方法[J]. 岩石力学与工程学报，2017，36(5)：1 101-1 110.(CAI Yi，TANG Huiming，GE Yunfeng，et al. A novel method to evaluate the roughness of 3D joint for rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(5)：1 101-1 110.(in Chinese))
[12]	ZHENG B，QI S. A new index to describe joint roughness coefficient (JRC) under cyclic shear[J]. Engineering Geology，2016，212：72-85.
[13]	LIU Q，TIAN Y，LIU D，et al. Updates to JRC-JCS model for estimating the peak shear strength of rock joints based on quantified surface description[J]. Engineering Geology，2017，228：282-300.
[14]	YANG Z Y，LO S C，DI C C. Reassessing the joint roughness coefficient(JRC) estimation using Z2[J]. Rock Mechanics and Rock Engineering，2001，34(3)：243-251.
[15]	LONG J C S，REMER J S，WILSON C R，et al. Porous media equivalents for networks of discontinuous fractures[J]. Water Resources Research，1982，18(3)：645-658.
[16]	FOURNO A，NGO T D，NOETINGER B，et al. Frac：A new conforming mesh method for discrete fracture networks[J]. Journal of Computational Physics，2019，376：713-732.
[17]	伍法权，祁生文. 岩体结构力学效应的统计岩体力学研究[J]. 工程地质学报，2014，22(4)：601-609.(WU Faquan，QI Shengwen. Statistical mechanics on the structure effects of rock masses[J]. Journal of Engineering Geology，2014，22(4)：601-609.(in Chinese))
[18]	EINSTEIN H H，BAECHER G B. Probabilistic and statistical methods in engineering geology[J]. Rock Mechanics and Rock Engineering，1983，16(1)：39-72.
[19]	PRIEST S D. Discontinuity analysis for rock engineering[M]. London：Chapman and Hall，1993：24-62.
[20]	倪春中，刘春学，张世涛. 从岩石露头裂隙迹线估算裂隙三维空间方向[J]. 石油与天然气地质，2013，34(1)：102-106.(NI Chunzhong，LIU Chunxue，ZHANG Shitao. Estimation of 3D distribution of fissures according to it on outcrops[J]. Oil and Gas Geology，2013，34(1)：102-106.(in Chinese))
[21]	SNOW D T. A parallel plate model of permeable fractured media[Ph. D. Thesis][D]. Berkley：University of California，1965.
[22]	BAECHER G B，LANNEY N A. Trace length biases in joint surveys[C]// Proceedings of the 19th US Symposium on Rock Mechanics. Nevada：American Rock Mechanics Association，1978，56-65.
[23]	AMBARCUMJAN R V. Convex polygons and random Tessellations[C]// HARDING E F，KENDALL E F. Stochastic Geometry. Hoboken：John Wiley & Sons，1974：176-191.
[24]	BELAYNEH M，COSGROVE J W. Fracture-pattern variations around a major fold and their implications regarding fracture prediction using limited data：an example from the Bristol Channel Basin[C]// COSGROVE J W，ENGELDER T. Initiation，propagation，and arrest of joints and other fractures. London：Special Publications，2004，89-102.
[25]	STURZENEGGER M，STEAD D. Close-range terrestrial digital photogrammetry and terrestrial laser scanning for discontinuity characterization on rock cuts[J]. Engineering Geology，2009，106：163-182.
[26]	JONES R R，PEARCE M A，JACQUEMYN C，et al. Robust best-fit planes from geospatial data[J]. Geosphere，2016，12：196-202.
[27]	郑飞. 模拟节理岩体破坏的3D-DDARF数值模型[博士学位论文][D]. 北京：中国科学院大学，2017.(ZHENG Fei. The 3D-DDARF model for simulation failure process of jointed rock mass[Ph. D. Thesis][D]. Beijing：University of Chinese Academy of Sciences，2017.(in Chinese))
[28]	何传永. 非连续变形分析方法程序与工程应用[M]. 北京：水利水电出版社，2009：114-130.(HE Chuanyong. Discontinuous analysis methods and application[M]. Beijing：China Water and Power Press，2009：114-130.(in Chinese))
[29]	RUTQVIST J，STEPHANSSON O. The role of hydromechanical coupling in fractured rock engineering[J]. Hydrogeology Journal，2003，11(1)：7-40.
[30]	MOGI K. Fracture and flow of rocks under high triaxial compression[J]. Journal of Geophysical Research，1971，76(5)：1 255-1 269.
[31]	张有天. 岩石水力学与工程[M]. 北京：中国水力水电出版社，2005：7-25.(ZHANG Youtian. Rock hydraulics and engineering[M]. Beijing：China Water and Power Press，2005：7-25.(in Chinese))
[32]	陈军涛，武强，尹立明，等. 高承压水上底板采动岩体裂隙演化规律研究[J]. 煤炭科学技术，2018，46(7)：54-60.(CHEN Juntao，WU Qiang，YIN Liming，et al. Law of crack evolution in floor rock mass above high confined water[J]. Coal Science and Technology，2018，46(7)：54-60.(in Chinese))
[33]	JING L，TSANG C F，STEPHANSSON O. DECOVALEX：an international co-operative research project on mathematical models of coupled THM processes for safety analysis of radioactive waste repositories[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1995，32(5)：389-398.
[34]	MARTINEZ-LANDA L，CARRERA J. An analysis of hydraulic conductivity scale effects in granite (Full Scale Engineered Barrier Experiment(FEBEX)，Grimsel，Switzerland)[J]. Water Resources Research，2005，41(3)：1-13.
[35]	NGUYEN T S，SELVADURAI A P S，ARMAND G. Modelling the FEBEX THM experiment using a state surface approach[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(5-6)：639-651.
[36]	许江，刘义鑫，尹光志，等. 煤岩剪切-渗流耦合试验装置研制[J]. 岩石力学与工程学报，2015，34(增1)：2 987-2 995.(XU Jiang，LIU Yixin，YIN Guangzhi，et al. Development of shear-flow coupled test device for coal rock[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.1)：2 987-2 995.(in Chinese))
[37]	刘才华，陈从新，付少兰. 剪应力作用下岩体裂隙渗流特性研究[J]. 岩石力学与工程学报，2003，22(10)：1 651-1 655.(LIU Caihua，CHEＮ Congxin，FU Shaolan. Study on seepage characteristics of a single rock fracture under shear stresses[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(10)：1 651-1 655.(in Chinese))
[38]	蒋宇静，李博，王刚，等. 岩石裂隙渗流特性试验研究的新进展[J]. 岩石力学与工程学报，2008，27(12)：2 377-2 386.(JIANG Yujing，LI Bo，WANG Gang，et al. New advances in experimental study on seepage characteristics of rock fractures[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(12)：2 377-2 386.(in Chinese))
[39]	夏才初，王伟，王筱柔. 岩石节理剪切-渗流耦合试验系统的研制[J]. 岩石力学与工程学报，2008，27(6)：1 285-1 291.(XIA Caichu，WANG Wei，WANG Xiaorou. Development of coupling shear-seepage test system for rock joints[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(6)：1 285-1 291.(in Chinese))
[40]	肖维民，夏才初，邓荣贵. 岩石节理应力-渗流耦合试验系统研究进展[J]. 岩石力学与工程学报，2014，33(增2)：3 456-3 465. (XIAO Weimin，XIA Caichu，DENG Ronggui. Advances in development of coupled stress-flow test system for rock joints[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(Supp.2)：3 456-3 465.(in Chinese))
[41]	INDRARATNA B，HAQUE A，AZIZ N. Laboratory modelling of shear behaviour of soft joints under constant normal stiffness conditions[J]. Geotechnical and Geological Engineering，1998，16(1)：17-44.
[42]	JIANG Y J，XIAO J，TANABASHI Y，et al. Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(2)：275-286.
[43]	ESAKI T，DU S，MITANI Y，et al. Development of a shear-flow test apparatus and determination of coupled properties for a single rock joint[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(5)：641-650.
[44]	OLSSON R，BARTON N. An improved model for hydromechanical coupling during shearing of rock joints[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(3)：317-329.
[45]	BOUSSINESQ J. Mémoire sur l’influence des Frottements dans les Mouvements Réguliers des Fluids[J]. Journal de Mathématiques Pures et Appliquées，1868，13：377-424.(in Russian)
[46]	ZIMMERMAN R W，BODVARSSON G S. Hydraulic conductivity of rock fractures[J]. Transport in Porous Media，1996，23(1)：1-30.
[47]	AMADEI B，ILLANGASEKARE T. A mathematical model for flow and solute transport in non-homogeneous rock fractures[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1994，31(6)：719-731.
[48]	速宝玉，詹美礼. 仿天然岩体裂隙渗流的实验研究[J]. 岩土工程学报，1995，17(5)：19-24.(SU Baoyu，ZHAN Meili. Study on seepage in the imitative nature rock[J]. Chinese Journal of Geotechanical Engineering，1995，17(5)：19-24.(in Chinese))
[49]	陈平，张有天. 裂隙岩体渗流与应力耦合分析[J]. 岩石力学与工程学报，1994，13(4)：299-308.(CHEN Ping，ZHANG Youtian. Coupling analysis of seepage stress for jointed rock[J]. Chinese Journal of Rock Mechanics and Engineering，1994，13(4)：299-308. (in Chinese))
[50]	周创兵，熊文林. 岩石节理的渗流广义立方定理[J]. 岩土力学，1996，17(4)：1-7.(ZHOU Chuangbing，XIONG Wenlin. A generalized cubic law for percolation in rock joints[J]. Rock and Soil Mechanics，1996，17(4)：1-7.(in Chinese))
[51]	NEUZIL C E，TRACY J V. Flow through fractures[J]. Water Resources Research，2010，17(1)：191-199.
[52]	TSANG Y W，WITHERSPOON P A. The dependence of fracture mechanical and fluid flow properties on fracture roughness and sample size[J]. Journal of Geophysical Research：Solid Earth，1983，88(B3)：2 359-2 366.
[53]	ELSWORTH D，GOODMAN R E. Characterization of rock fissure hydraulic conductivity using idealized wall roughness profiles[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1986，23(3)：233-243.
[54]	仵彦卿，张倬元. 岩体水力学导论[M]. 西安：西南交通大学出版社，1995：45-62.(WU Yanqing，ZHANG Zhuoyuan. Introduction to rock hydraulics mechanics[M]. Xi¢an：Southwest Jiaotong University Press，1995：45-62.(in Chinese))
[55]	速宝玉，詹美礼，张祝添. 充填裂隙渗流特性实验研究[J]. 岩土力学，1994，15(4)：46-52.(SU Baoyu，ZHAN Meili. Experimental research of seepage characteristics for filled fracture[J]. Rock and Soil Mechanics，1994，15(4)：46-52.(in Chinese))
[56]	BRACE W F. A note on permeability changes in geologic material due to stress[J]. Pure and Applied Geophysics，1978，116(4-5)：627-633.
[57]	SNOW D T. Rock fracture spacings，openings，and porosities[J]. Journal of Soil Mechanics and Foundations，1968，94(SM1)：73-91.
[58]	王媛. 单裂隙面渗流与应力的耦合特性[J]. 岩石力学与工程学报，2002，21(1)：83-87. (WANG Yuan. Coupling characteristics of stress and fluid flow within a single fracture[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(1)：83-87.(in Chinese))
[59]	NELSON R A. Fracture permeability in porous reservoirs：an experimental and field approach[M]. Texas：Texas A & M University，1975：128-140.
[60]	JONES JR F O. A laboratory study of the effects of confining pressure on fracture flow and storage capacity in carbonate rocks[J]. Journal of Petroleum Technology，1975，27(1)：21-27.
[61]	OLSSON R，BARTON N. An improved model for hydromechanical coupling during shearing of rock joints[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(3)：317-329.
[62]	陈胜宏，王鸿儒. 节理面渗流性质的探讨[J]. 武汉大学学报：工学版，1989，22(1)：53-60.(CHEN Shenghong，WANG Hongru. Study of seepage characteristic of joint surface[J]. Engineering Journal of Wuhan University，1989，22(1)：53-60.(in Chinese))
[63]	TSANG Y W，WITHERSPOON P A. Hydromechanical behavior of a deformable rock fracture subject to normal stress[J]. Journal of Geophysical Research：Solid Earth，1981，86(B10)：9 287-9 298.
[64]	KELSALL P C，CASE J B，CHABANNES C R. Evaluation of excavation-induced changes in rock permeability[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1984，21(3)：123-135.
[65]	OHNISHI Y，YANO T，IWAMOTO H，et al. The history of the research and development of the apparatuses measuring both the shear strength and the roughness profile of rock joints[J]. Doboku Gakkai Ronbunshu，2000，2000(645)：307-320.
[66]	BAI M，ELSWORTH D. Modeling of subsidence and stress-dependent hydraulic conductivity for intact and fractured porous media[J]. Rock Mechanics and Rock Engineering，1994，27(4)：209-234.
[67]	仵彦卿. 岩体水力学基础(五)[J]. 水文地质工程地质，1997，(5)：41-45.(WU Yanqing. Fundamental of rock hydraulic mechanics (Part 5)[J]. Hydrogeological Engineering Geology，1997，(5)：41-45. (in Chinese))
[68]	HICKS T W，PINE R J，WILLIS-RICHARDS J，et al. A hydro- thermo-mechanical numerical model for HDR geothermal reservoir evaluation[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1996，33(5)：499-511.
[69]	刘静波，赵阳升，胡耀青，等. 剪应力对煤体渗透性影响的研究[J]. 岩土工程学报，2009，31(10)：1 631-1 635. (LIU Jingbo，ZHAO Yangsheng，HU Yaoqing，et al. Influence of shear stress on permeability coefficient of coal[J]. Chinese Journal of Geotechnical Engineering，2009，31(10)：1 631-1 635.(in Chinese))
[70]	陈卫忠，伍国军，杨建平，等. 裂隙岩体地下工程稳定性分析理论与工程应用[M]. 北京：科学出版社，2012：238-257.(CHEN Weizhong，WU Guojun，YANG Jianping，et al. Underground engineering stability analysis theory and applications[M]. Beijing：Science Press，2012：238-257.(in Chinese))
[71]	陈卫忠，龚哲，于洪丹，等. 黏土岩温度-渗流-应力耦合特性试验与本构模型研究进展[J]. 岩土力学，2015，36(5)：1 217-1 238. (CHEN Weizhong，GONG Zhe，YU Hongdan，et al. Review of thermo-hydro-mechanical coupled tests and consistutive models of clays[J]. Rock and Soil Mechanics，2015，36(5)：1 217-1 238.(in Chinese))
[72]	朱维申，陈卫忠，申晋. 雁形裂纹扩展的模型试验及断裂力学机制研究[J]. 固体力学学报，1998，(4)：355-360.(ZHU Weishen，CHEN Weizhong，SHEN Jin. Simulation experiment and fracture mechanism study on propagation of echelon pattern cracks[J]. Chinese Journal of Solid Mechanics，1998，(4)：355-360.(in Chinese))
[73]	KEMENY J M. A model for non-linear rock deformation under compression due to sub-critical crack growth[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1991，28(6)：459-467.
[74]	WANG L Y，CHEN W Z，TAN X Y，et al. The impact of various crack geometrical parameters on stress field over tip under different mixed loading conditions and inclination angles[J]. Theoretical and Applied Fracture Mechanics，2018，12.(to be pressed)
[75]	HORII H，NEMATNASSER S. Brittle failure in compression：splitting，faulting and brittle-ductile transition[J]. Philosophical Transactions of the Royal Society of London，1986，319：337-374.
[76]	李银平，杨春和. 裂纹几何特征对压剪复合断裂的影响分析[J]. 岩石力学与工程学报，2006，25(3)：462-466.(LI Yinping，YANG Chunhe. Influence of geometric characteristics of pre-existing cracks on mixed mode fractures under compression-shear loading[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：462-466.(in Chinese))
[77]	WAN R G，EGHBALIAN M. Hydro-mechanical description of fractured porous media based on microporomechanics[J]. International Journal of Solids and Structures，2016，96：274-287.
[78]	SHAO J F，RUDNICKI J W. A microcrack-based continuous damage model for brittle geomaterials[J]. Mechanics of Materials，2000，32(10)：607-619.
[79]	ZHU Q Z，KONDO D，SHAO J F. Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials：role of the homogenization scheme[J]. International Journal of Solids and Structures，2008，45(5)：1 385-1 405.
[80]	朱其志，刘海旭，王伟，等. 北山花岗岩细观损伤力学本构模型研究[J]. 岩石力学与工程学报，2015，34(3)：433-439.(ZHU Qizhi，LIU Haixu，WANG Wei，et al. A micromechanical constitutive damage model for Beishan granite[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(3)：433-439.(in Chinese))
[81]	CHEN Y F，HU S H，WEI K，et al. Experimental characterization and micromechanical modeling of damage-induced permeability variation in Beishan granite[J]. International Journal of Rock Mechanics and Mining Sciences，2014，71：64-76.
[82]	YANG S Q，DAI Y H，HAN L J，et al. Experimental study on mechanical behavior of brittle marble samples containing different flaws under uniaxial compression[J]. Engineering Fracture Mechanics，2009，76(12)：1 833-1 845.
[83]	曹平，曹日红，赵延林，等. 岩石裂纹扩展−破断规律及流变特征[J]. 中国有色金属学报，2016，26(8)：1 737-1 762.(CAO Ping，CAO Rihong，ZHAO Yanlin，et al. Propagation coalescence and rheological fracture behavior of rock cracks[J]. The Chinese Journal of Nonferrous Metals，2016，26(8)：1 737-1 762.(in Chinese))
[84]	ELMO D，STEAD D. An integrated numerical modelling discrete fracture network approach applied to the characterization of rock mass strength of naturally fractured pillars[J]. Rock Mechanics and Rock Engineering，2010，43(1)：3-19.
[85]	TANG C A，LIU H，LEE P K K，et al. Numerical studies of the influence of microstructure on rock failure in uniaxial compression — Part I：effect of heterogeneity[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(4)：555-569.
[86]	GUOWEI M A，XINMEI A N，LEI H E. The numerical manifold method：A Review[J]. International Journal of Computational Methods，2010，7(1)：1-32.
[87]	FRIES T P，BELYTSCHKO T. The extended/generalized finite element method：an overview of the method and its applications[J]. International Journal for Numerical Methods in Engineering，2010，84(3)：253-304.
[88]	BO C S，LI S. Mesh free simulation of ductile fracture[J]. International Journal for Numerical Methods in Engineering，2010，60(8)：1 425-1 450.
[89]	CUNDALL P A，STRACK O D L. A discrete numerical model for granular assemblies[J]. Geotechnique，2008，29(30)：331-336.
[90]	SHI G H. Contact theory[J]. Science China Technological Sciences，2015，58(9)：1 450-1 496.
[91]	POTYONDY D O，CUNDALL P A. A bonded-particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41：1 329-1 364.
[92]	MUNJIZA A，OWEN D R J，BICANIC N. A combined finite-discrete element method in transient dynamics of fracturing solids[J]. Engineering Computations，2013，12(2)：145-174.
[93]	SHI G H，GOODMAN R E. Generalization of two-dimensional discontinuous deformation analysis for forward modeling[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1989，13(4)：359-380.
[94]	MAS IVARS D，PIERCE M E，DARCEL C，et al. The synthetic rock mass approach for jointed rock mass modelling[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48：219-244.
[95]	ESMAIELI K，HADJIGEORGIOU J，GRENON M. Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(6)：915-926.
[96]	黄丹，章青，乔丕忠，等. 近场动力学方法及其应用[J]. 力学进展，2010，40(4)：448-459.(HUANG Dan，ZHANG Qing，QIAO Piezhong，et al. A review on peridynamics(PD) method and its applications[J]. Advances in Mechanics，2010，40(4)：448-459.(in Chinese))
[97]	李鹏飞，朱其志，顾水涛，等. 岩石类材料裂隙形成和扩展的相场方法模拟[J]. 工程力学，2018，35(3)：41-48.(LI Pengfei，ZHU Qizhi，GU Shuitao，et al. A phase field method to simulate crack nucleation and crack propagation in rock-like materials[J]. Engineering Mechanics，2018，35(3)：41-48.(in Chinese))
[98]	SANTILLÁN D，MOSQUERA J C，CUETO F L. Phase field model for brittle fracture：Validation with experimental results and extension to dam engineering problems[J]. Engineering Fracture Mechanics，2017，178：109-125.
[99]	程良奎. 岩土锚固研究与新进展[J]. 岩石力学与工程学报，2005，24(21)：3 803-3 811.(CHENG Liangkui. Research and new progress in ground anchorage[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(21)：3 803-3 811.(in Chinese))
[100]	张伟，刘泉声. 基于剪切试验的预应力锚杆变形性能分析[J]. 岩土力学，2014，35(8)：2 231-2 240.(ZHANG Wei，LIU Quansheng. Analysis of deformation characteristics of prestressed anchor bolt based on shear test[J]. Rock and Soil Mechanics，2014，35(8)： 2 231-2 240.(in Chinese))
[101]	王明恕，何修仁，郑雨天. 全长锚固锚杆的力学模型及其应用[J]. 金属矿山，1983，(4)：24-29.(WANG Mingshu，HE Xiuren，ZHENG Yutian. The mechanical model of full length anchoring bolt and its application[J]. Metal Mine，1983，(4)：24-29.(in Chinese))
[102]	何满潮，郭志飚. 恒阻大变形锚杆力学特性及其工程应用[J]. 岩石力学与工程学报，2014，33(7)：1 297-1 308.(HE Manchao，GUO Zhibiao. Mechanical property and engineering application of anchor bolt with constant resistance and large deformation[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(7)：1 297-1 308.(in Chinese))
[103]	朱维申，何满潮. 复杂条件下围岩稳定性与岩体动态施工力学[M]. 北京：科学出版社，1995：31-51.(ZHU Weishen，HE Manchao. Surrounding rock stability and rock dynamic construction under complicated conditions[M]. Beijing：Science Press，1995：31-51.(in Chinese))
[104]	伍国军，褚以惇，陈卫忠. 地下工程锚固界面力学模型及其时效性研究[J]. 岩土力学，2011，32(1)：237-244.(WU Guojun，CHU Yidun，CHEN Weizhong. Constitutive model of anchorage interface in underground engineering and its time-effect analysis[J]. Rock and Soil Mechanics，2011，32(1)：237-244.(in Chinese))
[105]	WANG L Y，CHEN W Z，TAN X Y，et al. Numerical investigation on the stability of deforming fractured rocks using discrete fracture networks：a case study of underground excavation[J]. Bulletin of Engineering Geology and the Environment，2020，79：133-151.
[106]	杨建平，陈卫忠，戴永浩. 裂隙岩体变形模量尺寸效应研究I：有限元法[J]. 岩土力学，2011，32(5)：1 538-1 545.(YANG Jianping，CHEN Weizhong，DAI Yonghao. Study of scale effect of deformation modulus of fractured rock mass part I：Finite element method[J]. Rock and Soil Mechanics，2011，32(5)：1 538-1 545.(in Chinese))
[107]	YANG J P，CHEN W Z，DAI Y，et al. Numerical determination of elastic compliance tensor of fractured rock masses by finite element modeling[J]. International Journal of Rock Mechanics and Mining Sciences，2014，100(70)：474-482.
[108]	杨建平，陈卫忠，戴永浩. 裂隙岩体变形模量尺寸效应研究II：解析法[J]. 岩土力学，2011，32(6)：1 607-1 612.(YANG Jianping，CHEN Weizhong，DAI Yonghao. Study of scale effect of deformation modulus of fractured rock mass part II：Analytical method[J]. Rock and Soil Mechanics，2011，32(6)：1 607-1 612.(in Chinese))
[109]	TAN X J，CHEN，W Z，LIU H Y，et al. A unified model for frost heave pressure in the rock with a penny-shaped fracture during freezing[J]. Cold Regions Science and Technology，2018，(153)：1-9.
[110]	陈卫忠，杨典森，王鲁瑀，等. 一种地质体结构面应力渗流耦合剪切流变系统[P]. 中国：CN201710192613，2017-05-31.(CHEN Weizhong，YANG Diansen，WANG Luyu，et al. A system of stress-seepage-shear coupling under rheological loading for geological structural surface[P]. China：CN201710192613，2017-05-31.(in Chinese))